7 citations · 8 across the 4 of their papers we have counts for
6 papers
A nonstandard fractional Jacobi pseudospectral method for weakly regular right-sided Caputo terminal problems
Ibrahem G. Ameen, Magda Hammad, Mohsen Razzaghi +1
Right-sided fractional differential equations arising in terminal value problems present substantial analytical and numerical challenges due to their intrinsic nonlocal structure a…
Backward log orthogonal functions and their approximation theory
Mahmoud A. Zaky
We introduce a new class of backward logarithmic orthogonal functions and generalized backward logarithmic orthogonal functions, constructed by applying a terminal-endpoint logarit…
An optimal order fractional backward collocation method for adjoint Volterra integro-differential equations
Mahmoud A. Zaky
This paper develops and analyzes an optimal-order fractional backward collocation method for adjoint Volterra integro-differential equations with weakly singular kernels. The backw…
Reconstruction of a potential parameter in subdiffusion via a Kohn--Vogelius type functional: Theory and computation
Hamza Kahlaoui, Mourad Hrizi, Abdessamad Oulmelk +3
This work considers the reconstruction of a space-dependent potential from boundary observations in subdiffusion by a stable and robust recovery method. Specifically, we develop an…
On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations
Karel Van Bockstal, Mahmoud A. Zaky, Ahmed S. Hendy
In this contribution, a wave equation with a time-dependent variable-order fractional damping term and a nonlinear source is considered. Avoiding the circumstances of expressing th…
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel
Hao Chen, Mahmoud A. Zaky, Ahmed S. Hendy +1
In this paper, a two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel is proposed to reduce th…